Finding the Third Proportional to 61,413 and 132,222

Step by Step Solution

1. Step 1: Write the proportion equation
   61,413 : 132,222 = 132,222 : x
2. Step 2: Convert to fraction form
   61,413/132,222 = 132,222/x
3. Step 3: Cross multiply
   61,413x = 132,222 × 132,222
4. Step 4: Simplify right side
   61,413x = 17,482,657,284
5. Step 5: Solve for x
   x = 17,482,657,284/61,413
6. Step 6: Final answer
   x = 284,673.56