Finding the Third Proportional to 33,218 and 78,158

Step by Step Solution

1. Step 1: Write the proportion equation
   33,218 : 78,158 = 78,158 : x
2. Step 2: Convert to fraction form
   33,218/78,158 = 78,158/x
3. Step 3: Cross multiply
   33,218x = 78,158 × 78,158
4. Step 4: Simplify right side
   33,218x = 6,108,672,964
5. Step 5: Solve for x
   x = 6,108,672,964/33,218
6. Step 6: Final answer
   x = 183,896.47