Finding the Third Proportional to 85,924 and 131,454

Step by Step Solution

1. Step 1: Write the proportion equation
   85,924 : 131,454 = 131,454 : x
2. Step 2: Convert to fraction form
   85,924/131,454 = 131,454/x
3. Step 3: Cross multiply
   85,924x = 131,454 × 131,454
4. Step 4: Simplify right side
   85,924x = 17,280,154,116
5. Step 5: Solve for x
   x = 17,280,154,116/85,924
6. Step 6: Final answer
   x = 201,109.75