Finding the Third Proportional to 37,135 and 78,158

Step by Step Solution

1. Step 1: Write the proportion equation
   37,135 : 78,158 = 78,158 : x
2. Step 2: Convert to fraction form
   37,135/78,158 = 78,158/x
3. Step 3: Cross multiply
   37,135x = 78,158 × 78,158
4. Step 4: Simplify right side
   37,135x = 6,108,672,964
5. Step 5: Solve for x
   x = 6,108,672,964/37,135
6. Step 6: Final answer
   x = 164,499.07