Finding the Third Proportional to 138,510 and 297,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,510 : 297,706.50 = 297,706.50 : x
2. Step 2: Convert to fraction form
   138,510/297,706.50 = 297,706.50/x
3. Step 3: Cross multiply
   138,510x = 297,706.50 × 297,706.50
4. Step 4: Simplify right side
   138,510x = 88,629,160,142.25
5. Step 5: Solve for x
   x = 88,629,160,142.25/138,510
6. Step 6: Final answer
   x = 639,875.53