Finding the Third Proportional to 138,532.50 and 298,254

Step by Step Solution

1. Step 1: Write the proportion equation
   138,532.50 : 298,254 = 298,254 : x
2. Step 2: Convert to fraction form
   138,532.50/298,254 = 298,254/x
3. Step 3: Cross multiply
   138,532.50x = 298,254 × 298,254
4. Step 4: Simplify right side
   138,532.50x = 88,955,448,516
5. Step 5: Solve for x
   x = 88,955,448,516/138,532.50
6. Step 6: Final answer
   x = 642,126.93