Finding the Third Proportional to 52,191 and 95,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,191 : 95,998.50 = 95,998.50 : x
2. Step 2: Convert to fraction form
   52,191/95,998.50 = 95,998.50/x
3. Step 3: Cross multiply
   52,191x = 95,998.50 × 95,998.50
4. Step 4: Simplify right side
   52,191x = 9,215,712,002.25
5. Step 5: Solve for x
   x = 9,215,712,002.25/52,191
6. Step 6: Final answer
   x = 176,576.65