Finding the Third Proportional to 137,625 and 193,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,625 : 193,807.50 = 193,807.50 : x
2. Step 2: Convert to fraction form
   137,625/193,807.50 = 193,807.50/x
3. Step 3: Cross multiply
   137,625x = 193,807.50 × 193,807.50
4. Step 4: Simplify right side
   137,625x = 37,561,347,056.25
5. Step 5: Solve for x
   x = 37,561,347,056.25/137,625
6. Step 6: Final answer
   x = 272,925.32