Finding the Third Proportional to 116,140 and 175,813.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,140 : 175,813.50 = 175,813.50 : x
2. Step 2: Convert to fraction form
   116,140/175,813.50 = 175,813.50/x
3. Step 3: Cross multiply
   116,140x = 175,813.50 × 175,813.50
4. Step 4: Simplify right side
   116,140x = 30,910,386,782.25
5. Step 5: Solve for x
   x = 30,910,386,782.25/116,140
6. Step 6: Final answer
   x = 266,147.64