Finding the Third Proportional to 38,759 and 83,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,759 : 83,714.50 = 83,714.50 : x
2. Step 2: Convert to fraction form
   38,759/83,714.50 = 83,714.50/x
3. Step 3: Cross multiply
   38,759x = 83,714.50 × 83,714.50
4. Step 4: Simplify right side
   38,759x = 7,008,117,510.25
5. Step 5: Solve for x
   x = 7,008,117,510.25/38,759
6. Step 6: Final answer
   x = 180,812.65