Finding the Third Proportional to 278,499 and 406,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   278,499 : 406,012.50 = 406,012.50 : x
2. Step 2: Convert to fraction form
   278,499/406,012.50 = 406,012.50/x
3. Step 3: Cross multiply
   278,499x = 406,012.50 × 406,012.50
4. Step 4: Simplify right side
   278,499x = 164,846,150,156.25
5. Step 5: Solve for x
   x = 164,846,150,156.25/278,499
6. Step 6: Final answer
   x = 591,909.31