Finding the Third Proportional to 291,589.50 and 456,429

Step by Step Solution

1. Step 1: Write the proportion equation
   291,589.50 : 456,429 = 456,429 : x
2. Step 2: Convert to fraction form
   291,589.50/456,429 = 456,429/x
3. Step 3: Cross multiply
   291,589.50x = 456,429 × 456,429
4. Step 4: Simplify right side
   291,589.50x = 208,327,432,041
5. Step 5: Solve for x
   x = 208,327,432,041/291,589.50
6. Step 6: Final answer
   x = 714,454.51