Finding the Third Proportional to 286,080 and 420,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   286,080 : 420,367.50 = 420,367.50 : x
2. Step 2: Convert to fraction form
   286,080/420,367.50 = 420,367.50/x
3. Step 3: Cross multiply
   286,080x = 420,367.50 × 420,367.50
4. Step 4: Simplify right side
   286,080x = 176,708,835,056.25
5. Step 5: Solve for x
   x = 176,708,835,056.25/286,080
6. Step 6: Final answer
   x = 617,690.28