Finding the Third Proportional to 76,458 and 118,095

Step by Step Solution

1. Step 1: Write the proportion equation
   76,458 : 118,095 = 118,095 : x
2. Step 2: Convert to fraction form
   76,458/118,095 = 118,095/x
3. Step 3: Cross multiply
   76,458x = 118,095 × 118,095
4. Step 4: Simplify right side
   76,458x = 13,946,429,025
5. Step 5: Solve for x
   x = 13,946,429,025/76,458
6. Step 6: Final answer
   x = 182,406.41