Finding the Third Proportional to 102,588 and 153,471.75

Step by Step Solution

1. Step 1: Write the proportion equation
   102,588 : 153,471.75 = 153,471.75 : x
2. Step 2: Convert to fraction form
   102,588/153,471.75 = 153,471.75/x
3. Step 3: Cross multiply
   102,588x = 153,471.75 × 153,471.75
4. Step 4: Simplify right side
   102,588x = 23,553,578,048.06
5. Step 5: Solve for x
   x = 23,553,578,048.06/102,588
6. Step 6: Final answer
   x = 229,593.89