Finding the Third Proportional to 137,714.25 and 291,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,714.25 : 291,967.50 = 291,967.50 : x
2. Step 2: Convert to fraction form
   137,714.25/291,967.50 = 291,967.50/x
3. Step 3: Cross multiply
   137,714.25x = 291,967.50 × 291,967.50
4. Step 4: Simplify right side
   137,714.25x = 85,245,021,056.25
5. Step 5: Solve for x
   x = 85,245,021,056.25/137,714.25
6. Step 6: Final answer
   x = 618,999.28