Finding the Third Proportional to 88,748 and 194,506

Step by Step Solution

1. Step 1: Write the proportion equation
   88,748 : 194,506 = 194,506 : x
2. Step 2: Convert to fraction form
   88,748/194,506 = 194,506/x
3. Step 3: Cross multiply
   88,748x = 194,506 × 194,506
4. Step 4: Simplify right side
   88,748x = 37,832,584,036
5. Step 5: Solve for x
   x = 37,832,584,036/88,748
6. Step 6: Final answer
   x = 426,292.24