Finding the Third Proportional to 291,579.50 and 456,415

Step by Step Solution

1. Step 1: Write the proportion equation
   291,579.50 : 456,415 = 456,415 : x
2. Step 2: Convert to fraction form
   291,579.50/456,415 = 456,415/x
3. Step 3: Cross multiply
   291,579.50x = 456,415 × 456,415
4. Step 4: Simplify right side
   291,579.50x = 208,314,652,225
5. Step 5: Solve for x
   x = 208,314,652,225/291,579.50
6. Step 6: Final answer
   x = 714,435.18