Finding the Third Proportional to 91,156.50 and 137,992.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,156.50 : 137,992.50 = 137,992.50 : x
2. Step 2: Convert to fraction form
   91,156.50/137,992.50 = 137,992.50/x
3. Step 3: Cross multiply
   91,156.50x = 137,992.50 × 137,992.50
4. Step 4: Simplify right side
   91,156.50x = 19,041,930,056.25
5. Step 5: Solve for x
   x = 19,041,930,056.25/91,156.50
6. Step 6: Final answer
   x = 208,892.73