Finding the Third Proportional to 90,630 and 194,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,630 : 194,386.50 = 194,386.50 : x
2. Step 2: Convert to fraction form
   90,630/194,386.50 = 194,386.50/x
3. Step 3: Cross multiply
   90,630x = 194,386.50 × 194,386.50
4. Step 4: Simplify right side
   90,630x = 37,786,111,382.25
5. Step 5: Solve for x
   x = 37,786,111,382.25/90,630
6. Step 6: Final answer
   x = 416,927.19