Finding the Third Proportional to 84,258 and 178,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,258 : 178,906.50 = 178,906.50 : x
2. Step 2: Convert to fraction form
   84,258/178,906.50 = 178,906.50/x
3. Step 3: Cross multiply
   84,258x = 178,906.50 × 178,906.50
4. Step 4: Simplify right side
   84,258x = 32,007,535,742.25
5. Step 5: Solve for x
   x = 32,007,535,742.25/84,258
6. Step 6: Final answer
   x = 379,875.33