Finding the Third Proportional to 83,502 and 147,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,502 : 147,166.50 = 147,166.50 : x
2. Step 2: Convert to fraction form
   83,502/147,166.50 = 147,166.50/x
3. Step 3: Cross multiply
   83,502x = 147,166.50 × 147,166.50
4. Step 4: Simplify right side
   83,502x = 21,657,978,722.25
5. Step 5: Solve for x
   x = 21,657,978,722.25/83,502
6. Step 6: Final answer
   x = 259,370.78