Finding the Third Proportional to 78,410 and 185,069

Step by Step Solution

1. Step 1: Write the proportion equation
   78,410 : 185,069 = 185,069 : x
2. Step 2: Convert to fraction form
   78,410/185,069 = 185,069/x
3. Step 3: Cross multiply
   78,410x = 185,069 × 185,069
4. Step 4: Simplify right side
   78,410x = 34,250,534,761
5. Step 5: Solve for x
   x = 34,250,534,761/78,410
6. Step 6: Final answer
   x = 436,813.35