Finding the Third Proportional to 101,404.83 and 157,638.23

Step by Step Solution

1. Step 1: Write the proportion equation
   101,404.83 : 157,638.23 = 157,638.23 : x
2. Step 2: Convert to fraction form
   101,404.83/157,638.23 = 157,638.23/x
3. Step 3: Cross multiply
   101,404.83x = 157,638.23 × 157,638.23
4. Step 4: Simplify right side
   101,404.83x = 24,849,812,936.87
5. Step 5: Solve for x
   x = 24,849,812,936.87/101,404.83
6. Step 6: Final answer
   x = 245,055.52