Finding the Third Proportional to 35,199 and 78,174

Step by Step Solution

1. Step 1: Write the proportion equation
   35,199 : 78,174 = 78,174 : x
2. Step 2: Convert to fraction form
   35,199/78,174 = 78,174/x
3. Step 3: Cross multiply
   35,199x = 78,174 × 78,174
4. Step 4: Simplify right side
   35,199x = 6,111,174,276
5. Step 5: Solve for x
   x = 6,111,174,276/35,199
6. Step 6: Final answer
   x = 173,617.84