Finding the Third Proportional to 111,090.50 and 172,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,090.50 : 172,063.50 = 172,063.50 : x
2. Step 2: Convert to fraction form
   111,090.50/172,063.50 = 172,063.50/x
3. Step 3: Cross multiply
   111,090.50x = 172,063.50 × 172,063.50
4. Step 4: Simplify right side
   111,090.50x = 29,605,848,032.25
5. Step 5: Solve for x
   x = 29,605,848,032.25/111,090.50
6. Step 6: Final answer
   x = 266,502.07