Finding the Third Proportional to 55,412 and 83,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,412 : 83,096.50 = 83,096.50 : x
2. Step 2: Convert to fraction form
   55,412/83,096.50 = 83,096.50/x
3. Step 3: Cross multiply
   55,412x = 83,096.50 × 83,096.50
4. Step 4: Simplify right side
   55,412x = 6,905,028,312.25
5. Step 5: Solve for x
   x = 6,905,028,312.25/55,412
6. Step 6: Final answer
   x = 124,612.51