Finding the Third Proportional to 291,411.75 and 415,320

Step by Step Solution

1. Step 1: Write the proportion equation
   291,411.75 : 415,320 = 415,320 : x
2. Step 2: Convert to fraction form
   291,411.75/415,320 = 415,320/x
3. Step 3: Cross multiply
   291,411.75x = 415,320 × 415,320
4. Step 4: Simplify right side
   291,411.75x = 172,490,702,400
5. Step 5: Solve for x
   x = 172,490,702,400/291,411.75
6. Step 6: Final answer
   x = 591,914.03