Finding the Third Proportional to 78,425 and 185,106

Step by Step Solution

1. Step 1: Write the proportion equation
   78,425 : 185,106 = 185,106 : x
2. Step 2: Convert to fraction form
   78,425/185,106 = 185,106/x
3. Step 3: Cross multiply
   78,425x = 185,106 × 185,106
4. Step 4: Simplify right side
   78,425x = 34,264,231,236
5. Step 5: Solve for x
   x = 34,264,231,236/78,425
6. Step 6: Final answer
   x = 436,904.45