Finding the Third Proportional to 138,663 and 304,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,663 : 304,375.50 = 304,375.50 : x
2. Step 2: Convert to fraction form
   138,663/304,375.50 = 304,375.50/x
3. Step 3: Cross multiply
   138,663x = 304,375.50 × 304,375.50
4. Step 4: Simplify right side
   138,663x = 92,644,445,000.25
5. Step 5: Solve for x
   x = 92,644,445,000.25/138,663
6. Step 6: Final answer
   x = 668,126.65