Finding the Third Proportional to 90,865 and 137,937.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,865 : 137,937.50 = 137,937.50 : x
2. Step 2: Convert to fraction form
   90,865/137,937.50 = 137,937.50/x
3. Step 3: Cross multiply
   90,865x = 137,937.50 × 137,937.50
4. Step 4: Simplify right side
   90,865x = 19,026,753,906.25
5. Step 5: Solve for x
   x = 19,026,753,906.25/90,865
6. Step 6: Final answer
   x = 209,395.85