Finding the Third Proportional to 102,961.50 and 153,537

Step by Step Solution

1. Step 1: Write the proportion equation
   102,961.50 : 153,537 = 153,537 : x
2. Step 2: Convert to fraction form
   102,961.50/153,537 = 153,537/x
3. Step 3: Cross multiply
   102,961.50x = 153,537 × 153,537
4. Step 4: Simplify right side
   102,961.50x = 23,573,610,369
5. Step 5: Solve for x
   x = 23,573,610,369/102,961.50
6. Step 6: Final answer
   x = 228,955.58