Finding the Third Proportional to 118,594 and 259,076

Step by Step Solution

1. Step 1: Write the proportion equation
   118,594 : 259,076 = 259,076 : x
2. Step 2: Convert to fraction form
   118,594/259,076 = 259,076/x
3. Step 3: Cross multiply
   118,594x = 259,076 × 259,076
4. Step 4: Simplify right side
   118,594x = 67,120,373,776
5. Step 5: Solve for x
   x = 67,120,373,776/118,594
6. Step 6: Final answer
   x = 565,967.70