Finding the Third Proportional to 138,734 and 298,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,734 : 298,522.50 = 298,522.50 : x
2. Step 2: Convert to fraction form
   138,734/298,522.50 = 298,522.50/x
3. Step 3: Cross multiply
   138,734x = 298,522.50 × 298,522.50
4. Step 4: Simplify right side
   138,734x = 89,115,683,006.25
5. Step 5: Solve for x
   x = 89,115,683,006.25/138,734
6. Step 6: Final answer
   x = 642,349.27