Finding the Third Proportional to 75.30 and 117.39

Step by Step Solution

1. Step 1: Write the proportion equation
   75.30 : 117.39 = 117.39 : x
2. Step 2: Convert to fraction form
   75.30/117.39 = 117.39/x
3. Step 3: Cross multiply
   75.30x = 117.39 × 117.39
4. Step 4: Simplify right side
   75.30x = 13,779.64
5. Step 5: Solve for x
   x = 13,779.64/75.30
6. Step 6: Final answer
   x = 182.99