Finding the Third Proportional to 101,061 and 156,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,061 : 156,923.50 = 156,923.50 : x
2. Step 2: Convert to fraction form
   101,061/156,923.50 = 156,923.50/x
3. Step 3: Cross multiply
   101,061x = 156,923.50 × 156,923.50
4. Step 4: Simplify right side
   101,061x = 24,624,984,852.25
5. Step 5: Solve for x
   x = 24,624,984,852.25/101,061
6. Step 6: Final answer
   x = 243,664.57