Finding the Third Proportional to 59,546 and 92,118

Step by Step Solution

1. Step 1: Write the proportion equation
   59,546 : 92,118 = 92,118 : x
2. Step 2: Convert to fraction form
   59,546/92,118 = 92,118/x
3. Step 3: Cross multiply
   59,546x = 92,118 × 92,118
4. Step 4: Simplify right side
   59,546x = 8,485,725,924
5. Step 5: Solve for x
   x = 8,485,725,924/59,546
6. Step 6: Final answer
   x = 142,507.07