Finding the Third Proportional to 118,764 and 178,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,764 : 178,300.50 = 178,300.50 : x
2. Step 2: Convert to fraction form
   118,764/178,300.50 = 178,300.50/x
3. Step 3: Cross multiply
   118,764x = 178,300.50 × 178,300.50
4. Step 4: Simplify right side
   118,764x = 31,791,068,300.25
5. Step 5: Solve for x
   x = 31,791,068,300.25/118,764
6. Step 6: Final answer
   x = 267,682.70