Finding the Third Proportional to 88,466,995,802 and 194,966,382,697

Step by Step Solution

1. Step 1: Write the proportion equation
   88,466,995,802 : 194,966,382,697 = 194,966,382,697 : x
2. Step 2: Convert to fraction form
   88,466,995,802/194,966,382,697 = 194,966,382,697/x
3. Step 3: Cross multiply
   88,466,995,802x = 194,966,382,697 × 194,966,382,697
4. Step 4: Simplify right side
   88,466,995,802x = 38,011,890,381,953,058,209,792
5. Step 5: Solve for x
   x = 38,011,890,381,953,058,209,792/88,466,995,802
6. Step 6: Final answer
   x = 429,673,123,150.11