Finding the Third Proportional to 37,860 and 78,148

Step by Step Solution

1. Step 1: Write the proportion equation
   37,860 : 78,148 = 78,148 : x
2. Step 2: Convert to fraction form
   37,860/78,148 = 78,148/x
3. Step 3: Cross multiply
   37,860x = 78,148 × 78,148
4. Step 4: Simplify right side
   37,860x = 6,107,109,904
5. Step 5: Solve for x
   x = 6,107,109,904/37,860
6. Step 6: Final answer
   x = 161,307.71