Finding the Third Proportional to 102,769 and 161,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,769 : 161,438.50 = 161,438.50 : x
2. Step 2: Convert to fraction form
   102,769/161,438.50 = 161,438.50/x
3. Step 3: Cross multiply
   102,769x = 161,438.50 × 161,438.50
4. Step 4: Simplify right side
   102,769x = 26,062,389,282.25
5. Step 5: Solve for x
   x = 26,062,389,282.25/102,769
6. Step 6: Final answer
   x = 253,601.66