Finding the Third Proportional to 77,580 and 113,340

Step by Step Solution

1. Step 1: Write the proportion equation
   77,580 : 113,340 = 113,340 : x
2. Step 2: Convert to fraction form
   77,580/113,340 = 113,340/x
3. Step 3: Cross multiply
   77,580x = 113,340 × 113,340
4. Step 4: Simplify right side
   77,580x = 12,845,955,600
5. Step 5: Solve for x
   x = 12,845,955,600/77,580
6. Step 6: Final answer
   x = 165,583.34