Finding the Third Proportional to 99,594 and 208,422

Step by Step Solution

1. Step 1: Write the proportion equation
   99,594 : 208,422 = 208,422 : x
2. Step 2: Convert to fraction form
   99,594/208,422 = 208,422/x
3. Step 3: Cross multiply
   99,594x = 208,422 × 208,422
4. Step 4: Simplify right side
   99,594x = 43,439,730,084
5. Step 5: Solve for x
   x = 43,439,730,084/99,594
6. Step 6: Final answer
   x = 436,168.14