Finding the Third Proportional to 101,691 and 237,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,691 : 237,553.50 = 237,553.50 : x
2. Step 2: Convert to fraction form
   101,691/237,553.50 = 237,553.50/x
3. Step 3: Cross multiply
   101,691x = 237,553.50 × 237,553.50
4. Step 4: Simplify right side
   101,691x = 56,431,665,362.25
5. Step 5: Solve for x
   x = 56,431,665,362.25/101,691
6. Step 6: Final answer
   x = 554,932.74