Finding the Third Proportional to 97,106 and 152,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,106 : 152,586.50 = 152,586.50 : x
2. Step 2: Convert to fraction form
   97,106/152,586.50 = 152,586.50/x
3. Step 3: Cross multiply
   97,106x = 152,586.50 × 152,586.50
4. Step 4: Simplify right side
   97,106x = 23,282,639,982.25
5. Step 5: Solve for x
   x = 23,282,639,982.25/97,106
6. Step 6: Final answer
   x = 239,765.20