Finding the Third Proportional to 307,980 and 460,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   307,980 : 460,714.50 = 460,714.50 : x
2. Step 2: Convert to fraction form
   307,980/460,714.50 = 460,714.50/x
3. Step 3: Cross multiply
   307,980x = 460,714.50 × 460,714.50
4. Step 4: Simplify right side
   307,980x = 212,257,850,510.25
5. Step 5: Solve for x
   x = 212,257,850,510.25/307,980
6. Step 6: Final answer
   x = 689,193.62