Finding the Third Proportional to 58,898 and 122,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,898 : 122,767.50 = 122,767.50 : x
2. Step 2: Convert to fraction form
   58,898/122,767.50 = 122,767.50/x
3. Step 3: Cross multiply
   58,898x = 122,767.50 × 122,767.50
4. Step 4: Simplify right side
   58,898x = 15,071,859,056.25
5. Step 5: Solve for x
   x = 15,071,859,056.25/58,898
6. Step 6: Final answer
   x = 255,897.64