Finding the Third Proportional to 69,637 and 152,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,637 : 152,623.50 = 152,623.50 : x
2. Step 2: Convert to fraction form
   69,637/152,623.50 = 152,623.50/x
3. Step 3: Cross multiply
   69,637x = 152,623.50 × 152,623.50
4. Step 4: Simplify right side
   69,637x = 23,293,932,752.25
5. Step 5: Solve for x
   x = 23,293,932,752.25/69,637
6. Step 6: Final answer
   x = 334,505.12