Finding the Third Proportional to 83,835 and 130,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,835 : 130,855.50 = 130,855.50 : x
2. Step 2: Convert to fraction form
   83,835/130,855.50 = 130,855.50/x
3. Step 3: Cross multiply
   83,835x = 130,855.50 × 130,855.50
4. Step 4: Simplify right side
   83,835x = 17,123,161,880.25
5. Step 5: Solve for x
   x = 17,123,161,880.25/83,835
6. Step 6: Final answer
   x = 204,248.37