Finding the Third Proportional to 252,300 and 420,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   252,300 : 420,478.50 = 420,478.50 : x
2. Step 2: Convert to fraction form
   252,300/420,478.50 = 420,478.50/x
3. Step 3: Cross multiply
   252,300x = 420,478.50 × 420,478.50
4. Step 4: Simplify right side
   252,300x = 176,802,168,962.25
5. Step 5: Solve for x
   x = 176,802,168,962.25/252,300
6. Step 6: Final answer
   x = 700,761.67