Finding the Third Proportional to 291,627 and 456,486.75

Step by Step Solution

1. Step 1: Write the proportion equation
   291,627 : 456,486.75 = 456,486.75 : x
2. Step 2: Convert to fraction form
   291,627/456,486.75 = 456,486.75/x
3. Step 3: Cross multiply
   291,627x = 456,486.75 × 456,486.75
4. Step 4: Simplify right side
   291,627x = 208,380,152,925.56
5. Step 5: Solve for x
   x = 208,380,152,925.56/291,627
6. Step 6: Final answer
   x = 714,543.42