Finding the Third Proportional to 364,641.75 and 758,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   364,641.75 : 758,524.50 = 758,524.50 : x
2. Step 2: Convert to fraction form
   364,641.75/758,524.50 = 758,524.50/x
3. Step 3: Cross multiply
   364,641.75x = 758,524.50 × 758,524.50
4. Step 4: Simplify right side
   364,641.75x = 575,359,417,100.25
5. Step 5: Solve for x
   x = 575,359,417,100.25/364,641.75
6. Step 6: Final answer
   x = 1,577,875.87