Finding the Third Proportional to 178,732 and 369,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,732 : 369,853.50 = 369,853.50 : x
2. Step 2: Convert to fraction form
   178,732/369,853.50 = 369,853.50/x
3. Step 3: Cross multiply
   178,732x = 369,853.50 × 369,853.50
4. Step 4: Simplify right side
   178,732x = 136,791,611,462.25
5. Step 5: Solve for x
   x = 136,791,611,462.25/178,732
6. Step 6: Final answer
   x = 765,344.83