Finding the Third Proportional to 212,874.50 and 354,776

Step by Step Solution

1. Step 1: Write the proportion equation
   212,874.50 : 354,776 = 354,776 : x
2. Step 2: Convert to fraction form
   212,874.50/354,776 = 354,776/x
3. Step 3: Cross multiply
   212,874.50x = 354,776 × 354,776
4. Step 4: Simplify right side
   212,874.50x = 125,866,010,176
5. Step 5: Solve for x
   x = 125,866,010,176/212,874.50
6. Step 6: Final answer
   x = 591,268.61