Finding the Third Proportional to 166,788 and 358,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,788 : 358,906.50 = 358,906.50 : x
2. Step 2: Convert to fraction form
   166,788/358,906.50 = 358,906.50/x
3. Step 3: Cross multiply
   166,788x = 358,906.50 × 358,906.50
4. Step 4: Simplify right side
   166,788x = 128,813,875,742.25
5. Step 5: Solve for x
   x = 128,813,875,742.25/166,788
6. Step 6: Final answer
   x = 772,321.00