Finding the Third Proportional to 90,633 and 137,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,633 : 137,869.50 = 137,869.50 : x
2. Step 2: Convert to fraction form
   90,633/137,869.50 = 137,869.50/x
3. Step 3: Cross multiply
   90,633x = 137,869.50 × 137,869.50
4. Step 4: Simplify right side
   90,633x = 19,007,999,030.25
5. Step 5: Solve for x
   x = 19,007,999,030.25/90,633
6. Step 6: Final answer
   x = 209,724.92