Finding the Third Proportional to 201,138 and 277,068.75

Step by Step Solution

1. Step 1: Write the proportion equation
   201,138 : 277,068.75 = 277,068.75 : x
2. Step 2: Convert to fraction form
   201,138/277,068.75 = 277,068.75/x
3. Step 3: Cross multiply
   201,138x = 277,068.75 × 277,068.75
4. Step 4: Simplify right side
   201,138x = 76,767,092,226.56
5. Step 5: Solve for x
   x = 76,767,092,226.56/201,138
6. Step 6: Final answer
   x = 381,663.79