Finding the Third Proportional to 61,194 and 89,127.75

Step by Step Solution

1. Step 1: Write the proportion equation
   61,194 : 89,127.75 = 89,127.75 : x
2. Step 2: Convert to fraction form
   61,194/89,127.75 = 89,127.75/x
3. Step 3: Cross multiply
   61,194x = 89,127.75 × 89,127.75
4. Step 4: Simplify right side
   61,194x = 7,943,755,820.06
5. Step 5: Solve for x
   x = 7,943,755,820.06/61,194
6. Step 6: Final answer
   x = 129,812.66