Finding the Third Proportional to 83,670 and 117,030

Step by Step Solution

1. Step 1: Write the proportion equation
   83,670 : 117,030 = 117,030 : x
2. Step 2: Convert to fraction form
   83,670/117,030 = 117,030/x
3. Step 3: Cross multiply
   83,670x = 117,030 × 117,030
4. Step 4: Simplify right side
   83,670x = 13,696,020,900
5. Step 5: Solve for x
   x = 13,696,020,900/83,670
6. Step 6: Final answer
   x = 163,690.94