Finding the Third Proportional to 90,129 and 137,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,129 : 137,137.50 = 137,137.50 : x
2. Step 2: Convert to fraction form
   90,129/137,137.50 = 137,137.50/x
3. Step 3: Cross multiply
   90,129x = 137,137.50 × 137,137.50
4. Step 4: Simplify right side
   90,129x = 18,806,693,906.25
5. Step 5: Solve for x
   x = 18,806,693,906.25/90,129
6. Step 6: Final answer
   x = 208,664.18