Finding the Third Proportional to 81,657 and 174,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,657 : 174,977.50 = 174,977.50 : x
2. Step 2: Convert to fraction form
   81,657/174,977.50 = 174,977.50/x
3. Step 3: Cross multiply
   81,657x = 174,977.50 × 174,977.50
4. Step 4: Simplify right side
   81,657x = 30,617,125,506.25
5. Step 5: Solve for x
   x = 30,617,125,506.25/81,657
6. Step 6: Final answer
   x = 374,947.96