Finding the Third Proportional to 148,401 and 207,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,401 : 207,589.50 = 207,589.50 : x
2. Step 2: Convert to fraction form
   148,401/207,589.50 = 207,589.50/x
3. Step 3: Cross multiply
   148,401x = 207,589.50 × 207,589.50
4. Step 4: Simplify right side
   148,401x = 43,093,400,510.25
5. Step 5: Solve for x
   x = 43,093,400,510.25/148,401
6. Step 6: Final answer
   x = 290,384.84