Finding the Third Proportional to 61,194 and 89,442

Step by Step Solution

1. Step 1: Write the proportion equation
   61,194 : 89,442 = 89,442 : x
2. Step 2: Convert to fraction form
   61,194/89,442 = 89,442/x
3. Step 3: Cross multiply
   61,194x = 89,442 × 89,442
4. Step 4: Simplify right side
   61,194x = 7,999,871,364
5. Step 5: Solve for x
   x = 7,999,871,364/61,194
6. Step 6: Final answer
   x = 130,729.67