Finding the Third Proportional to 61,677 and 132,111

Step by Step Solution

1. Step 1: Write the proportion equation
   61,677 : 132,111 = 132,111 : x
2. Step 2: Convert to fraction form
   61,677/132,111 = 132,111/x
3. Step 3: Cross multiply
   61,677x = 132,111 × 132,111
4. Step 4: Simplify right side
   61,677x = 17,453,316,321
5. Step 5: Solve for x
   x = 17,453,316,321/61,677
6. Step 6: Final answer
   x = 282,979.33