Finding the Third Proportional to 186,789 and 266,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,789 : 266,878.50 = 266,878.50 : x
2. Step 2: Convert to fraction form
   186,789/266,878.50 = 266,878.50/x
3. Step 3: Cross multiply
   186,789x = 266,878.50 × 266,878.50
4. Step 4: Simplify right side
   186,789x = 71,224,133,762.25
5. Step 5: Solve for x
   x = 71,224,133,762.25/186,789
6. Step 6: Final answer
   x = 381,307.97