Finding the Third Proportional to 77,946 and 188,466

Step by Step Solution

1. Step 1: Write the proportion equation
   77,946 : 188,466 = 188,466 : x
2. Step 2: Convert to fraction form
   77,946/188,466 = 188,466/x
3. Step 3: Cross multiply
   77,946x = 188,466 × 188,466
4. Step 4: Simplify right side
   77,946x = 35,519,433,156
5. Step 5: Solve for x
   x = 35,519,433,156/77,946
6. Step 6: Final answer
   x = 455,692.83