Finding the Third Proportional to 125,784 and 186,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,784 : 186,961.50 = 186,961.50 : x
2. Step 2: Convert to fraction form
   125,784/186,961.50 = 186,961.50/x
3. Step 3: Cross multiply
   125,784x = 186,961.50 × 186,961.50
4. Step 4: Simplify right side
   125,784x = 34,954,602,482.25
5. Step 5: Solve for x
   x = 34,954,602,482.25/125,784
6. Step 6: Final answer
   x = 277,893.87