Finding the Third Proportional to 420,182 and 566,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   420,182 : 566,117.50 = 566,117.50 : x
2. Step 2: Convert to fraction form
   420,182/566,117.50 = 566,117.50/x
3. Step 3: Cross multiply
   420,182x = 566,117.50 × 566,117.50
4. Step 4: Simplify right side
   420,182x = 320,489,023,806.25
5. Step 5: Solve for x
   x = 320,489,023,806.25/420,182
6. Step 6: Final answer
   x = 762,738.58