Finding the Third Proportional to 347,724 and 496,312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   347,724 : 496,312.50 = 496,312.50 : x
2. Step 2: Convert to fraction form
   347,724/496,312.50 = 496,312.50/x
3. Step 3: Cross multiply
   347,724x = 496,312.50 × 496,312.50
4. Step 4: Simplify right side
   347,724x = 246,326,097,656.25
5. Step 5: Solve for x
   x = 246,326,097,656.25/347,724
6. Step 6: Final answer
   x = 708,395.44