Finding the Third Proportional to 101,106 and 238,590

Step by Step Solution

1. Step 1: Write the proportion equation
   101,106 : 238,590 = 238,590 : x
2. Step 2: Convert to fraction form
   101,106/238,590 = 238,590/x
3. Step 3: Cross multiply
   101,106x = 238,590 × 238,590
4. Step 4: Simplify right side
   101,106x = 56,925,188,100
5. Step 5: Solve for x
   x = 56,925,188,100/101,106
6. Step 6: Final answer
   x = 563,024.83