Finding the Third Proportional to 61,730 and 132,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,730 : 132,827.50 = 132,827.50 : x
2. Step 2: Convert to fraction form
   61,730/132,827.50 = 132,827.50/x
3. Step 3: Cross multiply
   61,730x = 132,827.50 × 132,827.50
4. Step 4: Simplify right side
   61,730x = 17,643,144,756.25
5. Step 5: Solve for x
   x = 17,643,144,756.25/61,730
6. Step 6: Final answer
   x = 285,811.51