Finding the Third Proportional to 277,020 and 376,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,020 : 376,042.50 = 376,042.50 : x
2. Step 2: Convert to fraction form
   277,020/376,042.50 = 376,042.50/x
3. Step 3: Cross multiply
   277,020x = 376,042.50 × 376,042.50
4. Step 4: Simplify right side
   277,020x = 141,407,961,806.25
5. Step 5: Solve for x
   x = 141,407,961,806.25/277,020
6. Step 6: Final answer
   x = 510,461.20