Finding the Third Proportional to 77,064 and 112,584

Step by Step Solution

1. Step 1: Write the proportion equation
   77,064 : 112,584 = 112,584 : x
2. Step 2: Convert to fraction form
   77,064/112,584 = 112,584/x
3. Step 3: Cross multiply
   77,064x = 112,584 × 112,584
4. Step 4: Simplify right side
   77,064x = 12,675,157,056
5. Step 5: Solve for x
   x = 12,675,157,056/77,064
6. Step 6: Final answer
   x = 164,475.72