Finding the Third Proportional to 148,975 and 208,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,975 : 208,387.50 = 208,387.50 : x
2. Step 2: Convert to fraction form
   148,975/208,387.50 = 208,387.50/x
3. Step 3: Cross multiply
   148,975x = 208,387.50 × 208,387.50
4. Step 4: Simplify right side
   148,975x = 43,425,350,156.25
5. Step 5: Solve for x
   x = 43,425,350,156.25/148,975
6. Step 6: Final answer
   x = 291,494.21