Finding the Third Proportional to 99,538 and 154,139

Step by Step Solution

1. Step 1: Write the proportion equation
   99,538 : 154,139 = 154,139 : x
2. Step 2: Convert to fraction form
   99,538/154,139 = 154,139/x
3. Step 3: Cross multiply
   99,538x = 154,139 × 154,139
4. Step 4: Simplify right side
   99,538x = 23,758,831,321
5. Step 5: Solve for x
   x = 23,758,831,321/99,538
6. Step 6: Final answer
   x = 238,691.07