Finding the Third Proportional to 116,775 and 166,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,775 : 166,412.50 = 166,412.50 : x
2. Step 2: Convert to fraction form
   116,775/166,412.50 = 166,412.50/x
3. Step 3: Cross multiply
   116,775x = 166,412.50 × 166,412.50
4. Step 4: Simplify right side
   116,775x = 27,693,120,156.25
5. Step 5: Solve for x
   x = 27,693,120,156.25/116,775
6. Step 6: Final answer
   x = 237,149.39