Finding the Third Proportional to 137,526 and 207,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,526 : 207,199.50 = 207,199.50 : x
2. Step 2: Convert to fraction form
   137,526/207,199.50 = 207,199.50/x
3. Step 3: Cross multiply
   137,526x = 207,199.50 × 207,199.50
4. Step 4: Simplify right side
   137,526x = 42,931,632,800.25
5. Step 5: Solve for x
   x = 42,931,632,800.25/137,526
6. Step 6: Final answer
   x = 312,171.03