Finding the Third Proportional to 138,527 and 298,239.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,527 : 298,239.50 = 298,239.50 : x
2. Step 2: Convert to fraction form
   138,527/298,239.50 = 298,239.50/x
3. Step 3: Cross multiply
   138,527x = 298,239.50 × 298,239.50
4. Step 4: Simplify right side
   138,527x = 88,946,799,360.25
5. Step 5: Solve for x
   x = 88,946,799,360.25/138,527
6. Step 6: Final answer
   x = 642,089.99