Finding the Third Proportional to 82,119 and 114,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,119 : 114,412.50 = 114,412.50 : x
2. Step 2: Convert to fraction form
   82,119/114,412.50 = 114,412.50/x
3. Step 3: Cross multiply
   82,119x = 114,412.50 × 114,412.50
4. Step 4: Simplify right side
   82,119x = 13,090,220,156.25
5. Step 5: Solve for x
   x = 13,090,220,156.25/82,119
6. Step 6: Final answer
   x = 159,405.50